On conjugacy classes of GL(n,q) and SL(n,q)
| dc.creator | Adan-Bante, Edith | |
| dc.creator | Harris, John M. | |
| dc.date | 2009-04-14 | |
| dc.date.accessioned | 2026-07-07T13:03:46Z | |
| dc.date.available | 2026-07-07T13:03:46Z | |
| dc.description | Let GL(n,q) be the group of nxn invertible matrices over a field with q elements, and SL(n,q) be the group of nxn matrices with determinant 1 over a field with q elements. We prove that the product of any two non-central conjugacy classes in GL(n,q) is the union of at least q-1 distinct conjugacy classes, and that the product of any two non-central conjugacy classes in SL(n,q) is the union of at least $\lceil\frac{q}{2} \rceil$ distinct conjugacy classes. | |
| dc.description | 9 pages | |
| dc.identifier | https://arxiv.org/abs/0904.2152 | |
| dc.identifier | http://arxiv.org/abs/0904.2152 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/226922 | |
| dc.subject | Group Theory | |
| dc.subject | 20G40, 20E45 | |
| dc.title | On conjugacy classes of GL(n,q) and SL(n,q) | |
| dc.type | text |